What is the solution for (dx)/(dt)=6-(7x)/(600+2t) ?

The solution for (dx)/(dt)=6-(7x)/(600+2t) is x=(2(2t+600))/3+(c_{1})/((600+2t)^{7/2)}

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(dx)/(dt)=6-(7x)/(600+2t)

\frac{d x}{d t} = 6 - \frac{7 x}{600 + 2 t}

x = \frac{2 ( 2 t + 600 )}{3} + \frac{c _{1}}{( 600 + 2 t ) ^{\frac{7}{2}}}

Solution steps

\frac{d x}{d t} = 6 - \frac{7 x}{600 + 2 t}

Solve linear ODE:

x = \frac{2 ( 2 t + 600 )}{3} + \frac{c _{1}}{( 600 + 2 t ) ^{\frac{7}{2}}}

x = \frac{2 ( 2 t + 600 )}{3} + \frac{c _{1}}{( 600 + 2 t ) ^{\frac{7}{2}}}

\int \frac{3 x - 5}{x ^{2}} d x

\int \frac{x ^{3} + 23}{x ^{2} + 7 x + 12} d x

\frac{d}{d x} ((2 x + 1)^{4})

y = csc (x) (x + cot (x))

f (x) = \frac{2 x}{7 x ^{2} + 1}

What is the solution for (dx)/(dt)=6-(7x)/(600+2t) ?
The solution for (dx)/(dt)=6-(7x)/(600+2t) is x=(2(2t+600))/3+(c_{1})/((600+2t)^{7/2)}